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BQ-NCO: Bisimulation Quotienting for Efficient Neural Combinatorial Optimization

NeurIPS 2023 · Reinforcement learning › MDPs and planning · approach: Average-reward and regularized MDPs · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use BQ-MDP policies instead of end-to-end constructive baselinesTSP · TSP N=1000optimality gap: 29.75% -> 2.29%Helped
Use BQ-MDP policies instead of end-to-end constructive baselinesCVRP · CVRP N=1000optimality gap: 86.41% -> 5.88%Helped
Use beam search size 16 instead of greedy decodingBQ-transformer · TSP N=1000optimality gap: 2.29% -> 1.38%Helped
Replace the transformer with PerceiverIO (ablation)BQ policy · TSP N=1000optimality gap: 2.29% -> 8.97%Hurt
Recompute the entire model after each construction step instead of only the top layer (ablation)BQ-transformer · TSP100optimality gap: 8.175% -> 0.35%Helped
Restrict candidate nodes to 250 nearest neighbors (ablation)BQ-transformer greedy · CVRP N=1000optimality gap: 6.282% -> 5.883%Helped
Restrict candidate nodes to 250 nearest neighbors (ablation)BQ-transformer greedy · TSP N=1000inference time: 14m -> 2mHelped
Sort expert CVRP subtours by remaining vehicle capacity (ablation)CVRP imitation training · CVRPperformanceHelped
Train on expert trajectories with subtours in arbitrary order (ablation)CVRP imitation training · CVRPperformanceHurt
Apply beam search rather than greedy decodingBQ-transformer · OP N=1000optimality gap: 13.12% -> 10.69%Helped
Use BQ greedy rather than POMO all trajectoriesKnapsack policy · KP Alloptimality gap: 4.647% -> 0.516%Helped

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